Optimum Stratification for Sensitive Quantitative Variables using Auxiliary Information

摘要

The paper considers the problem of optimum stratification for two sensitive quantitative variables when data on sensitive variables are collected by scrambled randomized response technique and an auxiliary variable is taken as stratification variable.We have proposed a cumulative cube root rule for determination of optimum strata boundaries for ratio and regression method of estimation under compromise method of allocation. A limiting expression for the trace of variance covariance matrix and an approximate expression for sample size also have been suggested. The paper concludes with numerical illustration.